Atkin-Lehner |
2- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54782bm |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-37535956744832 = -1 · 27 · 79 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 1 4 7- -3 13- -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13721,-686407] |
[a1,a2,a3,a4,a6] |
j |
-2428257525121/319050368 |
j-invariant |
L |
6.1307124652978 |
L(r)(E,1)/r! |
Ω |
0.21895401666354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826j1 |
Quadratic twists by: -7 |